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Simplifying -2[4 + -1(3b + 20)] = 5 + -2(3b + 6) Reorder the terms: -2[4 + -1(20 + 3b)] = 5 + -2(3b + 6) -2[4 + (20 * -1 + 3b * -1)] = 5 + -2(3b + 6) -2[4 + (-20 + -3b)] = 5 + -2(3b + 6) Combine like terms: 4 + -20 = -16 -2[-16 + -3b] = 5 + -2(3b + 6) [-16 * -2 + -3b * -2] = 5 + -2(3b + 6) [32 + 6b] = 5 + -2(3b + 6) Reorder the terms: 32 + 6b = 5 + -2(6 + 3b) 32 + 6b = 5 + (6 * -2 + 3b * -2) 32 + 6b = 5 + (-12 + -6b) Combine like terms: 5 + -12 = -7 32 + 6b = -7 + -6b Solving 32 + 6b = -7 + -6b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '6b' to each side of the equation. 32 + 6b + 6b = -7 + -6b + 6b Combine like terms: 6b + 6b = 12b 32 + 12b = -7 + -6b + 6b Combine like terms: -6b + 6b = 0 32 + 12b = -7 + 0 32 + 12b = -7 Add '-32' to each side of the equation. 32 + -32 + 12b = -7 + -32 Combine like terms: 32 + -32 = 0 0 + 12b = -7 + -32 12b = -7 + -32 Combine like terms: -7 + -32 = -39 12b = -39 Divide each side by '12'. b = -3.25 Simplifying b = -3.25
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